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86719744 = 282911681
BaseRepresentation
bin1010010101100…
…11110100000000
320001011211010101
411022303310000
5134200012434
612334412144
72102051146
oct512636400
9201154111
1086719744
1144a50911
1225061054
1314c73b77
14b735596
15792eb14
hex52b3d00

86719744 has 36 divisors (see below), whose sum is σ = 179085060. Its totient is φ = 41861120.

The previous prime is 86719733. The next prime is 86719751. The reversal of 86719744 is 44791768.

It can be written as a sum of positive squares in 2 ways, for example, as 44729344 + 41990400 = 6688^2 + 6480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86719694 and 86719703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1584 + ... + 13264.

It is an arithmetic number, because the mean of its divisors is an integer number (4974585).

Almost surely, 286719744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86719744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89542530).

86719744 is an abundant number, since it is smaller than the sum of its proper divisors (92365316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86719744 is a wasteful number, since it uses less digits than its factorization.

86719744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726 (or 11712 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 86719744 is about 9312.3436362712. The cubic root of 86719744 is about 442.6284543070.

The spelling of 86719744 in words is "eighty-six million, seven hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 11681 23362 46724 93448 186896 338749 373792 677498 747584 1354996 1495168 2709992 2990336 5419984 10839968 21679936 43359872 86719744